cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A077630 Sum of terms in periodic part of continued fraction expansion of square root of 1+3^n.

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%I A077630 #12 Sep 17 2021 17:29:43
%S A077630 0,6,18,18,86,54,344,162,650,486,3246,1458,11542,4374,19196,13122,
%T A077630 83672,39366,434242,118098,248278,354294,5669112,1062882,10522426,
%U A077630 3188646,5969216,9565938,46110338,28697814,271512140,86093442,149401156,258280326,583061114,774840978
%N A077630 Sum of terms in periodic part of continued fraction expansion of square root of 1+3^n.
%C A077630 a(1) = 0 since 3^1+1=4 is a square and sqrt(4) = 2 has no periodic part in its continued fraction expansion. - _Chai Wah Wu_, Sep 17 2021
%H A077630 Chai Wah Wu, <a href="/A077630/b077630.txt">Table of n, a(n) for n = 1..48</a>
%t A077630 Table[Apply[Plus, Last[ContinuedFraction[Sqrt[1+3^u]]]], {u, 1, 25}]
%Y A077630 Cf. A077624-A077635.
%K A077630 nonn
%O A077630 1,2
%A A077630 _Labos Elemer_, Nov 13 2002
%E A077630 a(1) corrected and a(26)-a(36) added by _Chai Wah Wu_, Sep 17 2021